We show that discourse structure need not bear the full burden of conveying discourse relations by showing that many of them can be explained non- structurally in terms of the grounding of anaphoric presuppositions (Van der Sandt, 1992).
This simpli- fies discourse structure, while still allowing the real- isation of a full range of discourse relations.
This is achieved using the same semantic machinery used in deriving clause-level semantics.